Research

My research focuses on spontaneous stochasticity, which has emerged as a key concept for understanding turbulence and its statistical structure. A flow is said to exhibit spontaneous stochasticity if, in the infinite-Reynolds-number limit (Re \(\to \infty\)), the probability distribution over admissible weak solutions remains nontrivial and is universal—that is, it does not collapse to a single deterministic solution and is independent of the specific regularizations and perturbations. I am developing a numerical Renormalization Group scheme to study spontaneous stochasticity in the Kelvin-Helmholtz instability. In addition, I study a 1D model of spontaneous stochasticity using the Functional Renormalization Group with kernel approximation methods. I am also interested in studying vortex sheets in the statistical setting and extending existing mathematical results in this direction.